Multigraded regularity, a*-invariant and the minimal free resolution

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dc.creatorHa, Huy Tai
dc.date2005-01-26
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:29Z
dc.date.available2026-07-07T07:41:29Z
dc.descriptionIn recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been developed, namely multigraded regularity, defined by the vanishing of multigraded pieces of local cohomology modules, and the resolution regularity vector, defined by the multidegrees in a minimal free resolution. In this paper, we study the relationship between multigraded regularity and the resolution regularity vector. Our method is to investigate multigraded variants of the usual a*-invariant. This, in particular, provides an effective approach to examining the vanishing of multigraded pieces of local cohomology modules with respect to different graded irrelevant ideals.
dc.descriptionFinal version to appear in J. Algebra; 24 pages
dc.identifierhttps://arxiv.org/abs/math/0501479
dc.identifierhttp://arxiv.org/abs/math/0501479
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122125
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02, 13D45, 14B15, 14F17
dc.titleMultigraded regularity, a*-invariant and the minimal free resolution
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